- Jun 1 Christian Gottlob Saupe, composer
- Jun 13 José Bonifácio de Andrada, Brazilian statesman, born in Santos, São Paulo (d. 1838)
- Jun 14 Johannes Simon Mayr, composer
- Jun 15 Franz Danzi, German composer and cellist, born in Schwetzingen (d. 1826)
- Jun 20 Theobald Wolfe Tone, Irish nationalist
- Jun 21 Pierre-Paul Royer-Collard, French statesman and philosopher, born in Sompuis, France (d. 1845)
- Jun 23 Joséphine de Beauharnais, first wife of Napoleon I and first Empress of France (1804-14), born in Les Trois-Îlets, Martinique (d. 1814)
- Jun 26 George Morland, England, artist of rural landscapes